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Finding the Fourth Proportional to 7,740.62, 10,682.10 and 4,203.86

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Solution

The fourth proportional to 7,740.62, 10,682.10 and 4,203.86 is: 5,801.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,740.62 : 10,682.10 = 4,203.86 : x
  2. Step 2: Convert to fraction form
    7,740.62/10,682.10 = 4,203.86/x
  3. Step 3: Cross multiply
    7,740.62x = 10,682.10 × 4,203.86
  4. Step 4: Simplify right side
    7,740.62x = 44,906,052.91
  5. Step 5: Solve for x
    x = 44,906,052.91/7,740.62
  6. Step 6: Final answer
    x = 5,801.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.